Journal
JOURNAL OF MATHEMATICAL PHYSICS
Volume 62, Issue 5, Pages -Publisher
AMER INST PHYSICS
DOI: 10.1063/5.0029683
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Funding
- National Research Foundation of Korea (NRF) - Korean government (MSIT) [2020R1F1A1A01072197]
- National Research Foundation of Korea [2020R1F1A1A01072197] Funding Source: Korea Institute of Science & Technology Information (KISTI), National Science & Technology Information Service (NTIS)
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The study estimates the L-infinity norm of the first derivative of the solution to the Chern-Simons gauged O(3) sigma model in R1+1 by using local energy conservation and observing the transport equation along the characteristic line. As a result of the bound, the growth rate of the H-2 norm of the solution is improved from exponential to polynomial. This idea is also applied to the Chern-Simons-Higgs model.
We estimate the L-infinity norm of the first derivative of the solution to the Chern-Simons gauged O(3) sigma model in R1+1 by using local energy conservation and observing the transport equation along the characteristic line. As an application of the bound, we improve the growth rate of the H-2 norm of the solution from an exponential to a polynomial one. We also apply a similar idea to the Chern-Simons-Higgs model. Published under license by AIP Publishing.
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